Research Article

On Hyperbolic Jacobsthal-Lucas Sequence

Volume: 5 Number: 1 March 1, 2022
EN

On Hyperbolic Jacobsthal-Lucas Sequence

Abstract

In this study, we define the hyperbolic Jacobsthal-Lucas numbers and we obtain recurrence relations, Binet’s formula, generating function and the summation formulas for these numbers.

Keywords

References

  1. [1] A. F. Horadam, Jacobsthal represantation numbers, Fibonacci Quart., 34 (1996), 40-54.
  2. [2] A. F. Horadam, Jacobsthal and Pell curves, Fibonacci Quart., 26 (1988), 79-83.
  3. [3] A. F. Horadam, Jacobsthal representation polynomials, Fibonacci Quart., 35 (1997), 137-148.
  4. [4] A. F. Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Quart., 3(3) (1965), 161-176.
  5. [5] K. Atanassov, Remark on Jacobsthal numbers, Part 2. Notes Number Theory Discrete Math., 17(2) (2011), 37-39.
  6. [6] K. Atanassov, Short remarks on Jacobsthal numbers, Notes Number Theory Discrete Math., 18(2) (2012), 63-64.
  7. [7] M. C. Dikmen, Hyperbolic Jacobsthal numbers, Asian Res. J. Math., 4 (2019), 1-9.
  8. [8] S. Tas, The Hyperbolic Quadrapell sequences, Eastern Anatolian J. Sci. VII(I) (2021), 25-29.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 1, 2022

Submission Date

June 28, 2021

Acceptance Date

December 23, 2021

Published in Issue

Year 2022 Volume: 5 Number: 1

APA
Taş, S. (2022). On Hyperbolic Jacobsthal-Lucas Sequence. Fundamental Journal of Mathematics and Applications, 5(1), 16-20. https://doi.org/10.33401/fujma.958524
AMA
1.Taş S. On Hyperbolic Jacobsthal-Lucas Sequence. Fundam. J. Math. Appl. 2022;5(1):16-20. doi:10.33401/fujma.958524
Chicago
Taş, Sait. 2022. “On Hyperbolic Jacobsthal-Lucas Sequence”. Fundamental Journal of Mathematics and Applications 5 (1): 16-20. https://doi.org/10.33401/fujma.958524.
EndNote
Taş S (March 1, 2022) On Hyperbolic Jacobsthal-Lucas Sequence. Fundamental Journal of Mathematics and Applications 5 1 16–20.
IEEE
[1]S. Taş, “On Hyperbolic Jacobsthal-Lucas Sequence”, Fundam. J. Math. Appl., vol. 5, no. 1, pp. 16–20, Mar. 2022, doi: 10.33401/fujma.958524.
ISNAD
Taş, Sait. “On Hyperbolic Jacobsthal-Lucas Sequence”. Fundamental Journal of Mathematics and Applications 5/1 (March 1, 2022): 16-20. https://doi.org/10.33401/fujma.958524.
JAMA
1.Taş S. On Hyperbolic Jacobsthal-Lucas Sequence. Fundam. J. Math. Appl. 2022;5:16–20.
MLA
Taş, Sait. “On Hyperbolic Jacobsthal-Lucas Sequence”. Fundamental Journal of Mathematics and Applications, vol. 5, no. 1, Mar. 2022, pp. 16-20, doi:10.33401/fujma.958524.
Vancouver
1.Sait Taş. On Hyperbolic Jacobsthal-Lucas Sequence. Fundam. J. Math. Appl. 2022 Mar. 1;5(1):16-20. doi:10.33401/fujma.958524

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